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Quantum spectrum for a Kerr–Newman black hole

Gilad Gour and A J M Medved

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In this paper, we consider the quantum area spectrum for a rotating and charged (Kerr–Newman) black hole. Generalizing a recent study on Kerr black holes (which was inspired by the static black-hole formalism of Barvinsky, Das and Kunstatter), we show that the quantized area operator can be expressed in terms of three quantum numbers (roughly related to the mass, charge and spin sectors). More precisely, we find that A = 8πhbar[n + 1/2 + p1/2 + p2], where n, p1 and p2 are strictly non-negative integers. In this way, we are able to confirm a uniformly spaced spectrum even for a fully general Kerr–Newman black hole. Along the way, we derive certain selection rules and use these to demonstrate that, in spite of appearances, the charge and spin spectra are not completely independent.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 9 (7 May 2003)

Received 3 February 2003

Published 7 April 2003



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